基于演化曲线的平面点云多通道分割

IF 2.5 3区 数学 Q1 MATHEMATICS, APPLIED Computational & Applied Mathematics Pub Date : 2023-10-13 DOI:10.1007/s40314-023-02457-w
Lukáš Tomek, Branislav Beran, Ján Erdélyi, Richard Honti, Karol Mikula
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引用次数: 0

摘要

摘要研究了地面激光扫描仪(TLS)扫描平面点云的多通道曲线分割问题,这些点云通常代表建筑物的墙壁。来自点云的信息可用于建筑物的质量检查(例如,墙壁的平整度或墙壁的相互垂直度)或创建建筑物的虚拟模型。因此,需要将平面点云分割成代表墙壁和其他结构(例如门、插座)表面的子集。提出了一种平面曲线演化的数学模型,用于点云的分割。曲线的演变是由被扫描壁的特性控制的,比如颜色和强度。我们使用有限体积方法和半隐式的流入-隐/流出-显(IIOE)格式对模型进行离散化。我们在真实数据上演示了分割的功能。
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Multichannel segmentation of planar point clouds using evolving curves
Abstract The paper deals with the multichannel curve segmentation of planar point clouds, scanned by a terrestrial laser scanner (TLS), which usually represent walls of buildings. Information derived from the point cloud can be used for quality check of a building (e.g. wall flatness or mutual perpendicularity of walls) or creation of virtual models of buildings. Therefore, segmentation of the planar point cloud into subsets representing the surface of the wall and other structures (e.g. door, electrical outlets) is desired. We describe a mathematical model of evolving planar curves, which is used for the segmentation of the point cloud. The evolution of curves is controlled by the properties of the scanned walls, such as colour and intensity. We discretize the model using the finite-volume method and the semi-implicit Inflow-Implicit/Outflow-Explicit (IIOE) scheme. We demonstrate the functionality of segmentation on real data.
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来源期刊
Computational & Applied Mathematics
Computational & Applied Mathematics Mathematics-Computational Mathematics
CiteScore
4.50
自引率
11.50%
发文量
352
审稿时长
>12 weeks
期刊介绍: Computational & Applied Mathematics began to be published in 1981. This journal was conceived as the main scientific publication of SBMAC (Brazilian Society of Computational and Applied Mathematics). The objective of the journal is the publication of original research in Applied and Computational Mathematics, with interfaces in Physics, Engineering, Chemistry, Biology, Operations Research, Statistics, Social Sciences and Economy. The journal has the usual quality standards of scientific international journals and we aim high level of contributions in terms of originality, depth and relevance.
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